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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 29232.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29232.z1 | 29232u1 | \([0, 0, 0, -13768515, 19664708418]\) | \(-3580418379458257875/83441483776\) | \(-6727183258267680768\) | \([]\) | \(794880\) | \(2.7251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29232.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29232.z do not have complex multiplication.Modular form 29232.2.a.z
sage: E.q_eigenform(10)